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Finding the Fourth Proportional to 534.02, 736.86 and 312.98

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Solution

The fourth proportional to 534.02, 736.86 and 312.98 is: 431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.02 : 736.86 = 312.98 : x
  2. Step 2: Convert to fraction form
    534.02/736.86 = 312.98/x
  3. Step 3: Cross multiply
    534.02x = 736.86 × 312.98
  4. Step 4: Simplify right side
    534.02x = 230,622.44
  5. Step 5: Solve for x
    x = 230,622.44/534.02
  6. Step 6: Final answer
    x = 431.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.